18946628352 has 288 divisors, whose sum is σ = 58113045760. Its totient is φ = 6160831488.

The previous prime is 18946628291. The next prime is 18946628383. The reversal of 18946628352 is 25382664981.

18946628352 is a `hidden beast` number, since 1 + 8 + 9 + 4 + 6 + 628 + 3 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24074103 + ... + 24074889.

Almost surely, 2^18946628352 is an apocalyptic number.

18946628352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18946628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29056522880).

18946628352 is an abundant number, since it is smaller than the sum of its proper divisors (39166417408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18946628352 is an frugal number, since it uses more digits than its factorization.

18946628352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 835 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 18946628352 in words is "eighteen billion, nine hundred forty-six million, six hundred twenty-eight thousand, three hundred fifty-two".